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Finding the Fourth Proportional to 286,596.50, 429,904.32 and 128,825.41

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Solution

The fourth proportional to 286,596.50, 429,904.32 and 128,825.41 is: 193,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,596.50 : 429,904.32 = 128,825.41 : x
  2. Step 2: Convert to fraction form
    286,596.50/429,904.32 = 128,825.41/x
  3. Step 3: Cross multiply
    286,596.50x = 429,904.32 × 128,825.41
  4. Step 4: Simplify right side
    286,596.50x = 55,382,598,726.92
  5. Step 5: Solve for x
    x = 55,382,598,726.92/286,596.50
  6. Step 6: Final answer
    x = 193,242.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.